420
Number 420: Properties, Factors, and Mathematical Facts
Short answer
The number 420 is an even composite number with 24 positive divisors. Its prime factorization is 2² × 3 × 5 × 7. It is also an abundant number, which gives it several notable mathematical relationships.
Is 420 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 420?
Prime factorization
2 squared times 3 times 5 times 7
What are the divisors of 420?
Divisor count
24
Divisor sum
1,344
Proper divisor sum
924
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 10
- 12
- 14
- 15
- 20
- 21
- 28
- 30
- 35
- 42
- 60
- 70
- 84
- 105
- 140
- 210
- 420
How is 420 classified?
How is 420 represented in other numeral systems?
Decimal
420
Binary
110100100
Octal
644
Hexadecimal
1A4
Roman
CDXXLearn more →
In words
four hundred twenty
Roots and powers
Square root
20.493902 Approximate
Cube root
7.488872 Approximate
Nearest lower square
400
Nearest higher square
441
Nearest lower cube
343
Nearest higher cube
512
What are the digit properties of 420?
Which numbers are related to 420?
Why these results are true
- 420 is composite because it has positive divisors other than 1 and itself.
- 420 is abundant because the sum of its proper divisors (924) is greater than 420.
Compare this number
FAQ for 420
- Is 420 prime?
- No
- What is the prime factorization of 420?
- 2² × 3 × 5 × 7
- Is 420 a perfect square?
- No
- What is 420 in binary?
- 110100100
- What is 420 in Roman numerals?
- CDXX